No, generally they are born with it. CT's range from 160 to 180 degree's though when fully spread. He looks like he might be able to reach the 160 degree's. It depends on his lineage though and what his parents were.

Perhaps, but like lilaug said, it really depends on the lineage of the fish. A lot of petstores get bettas from mills (which are like factories for pet stores) and there is little thought or care that goes into the best genetics. Now, I don't know about stores in India but I'd say they're pretty close, or your stores get bettas from Singapore/Malaysia.

If it splits again, then he's a crowntail. The 180 caudal fin ... if each tip reaches a point where it makes a full 180 means that he's actually a halfsun. Here's what a halfsun looks like for crowntails.